an auto, moving too fast on a horizontal stretch of mountain road, slides off the road,
falling into deep snow 43.9 m below the road and 87.7 m beyond the edge of the road.
a. how long did the auto take to fall?

2.99 s

Explanation:

To find the time it takes for the car to fall, we just need to analyze its vertical motion.

The motion of the car along the vertical direction is a free-fall motion, so we can use the following suvat equation:

where

s = 43.9 m is the vertical distance covered by the car

g = 9.8 m/s^2 is the acceleration of gravity

t is the time of flight

Solving for t, we find: